Recall that 1 rotation is the equivalent of 360 degrees or 2pi radians.
7.5 rotations clockwise 2pi rad
------------------------------- * ---------------------------------------
1 1 rotation counterclockwise
= -47.12 radians, or -2700 degrees.
3x-5y =15
2x-y=-4
multiply the equation by 5 and then subtract equation 2 from equation 1
so 3x-5y =15
10x-5y =-20
-7x =35 x =-5
plug in the value of x in the second equation -10 -y =-4 - y= -4 +10 y =-6
x=-5 y=-6
Answer: 6
Step-by-step explanation:
(5+1)^2-(11+3^2)
25+1-11+9
26-20
=6
Answer:
Perimeter of given regular hexagon is <em>48.5 ft</em>.
Step-by-step explanation:
Let <em>ABCDEF</em> be the regular hexagon as shown in the attached figure.
<em>O</em> be the intersection point of the diagonals <em>EB</em>, <em>FC </em>and <em>AD</em>.
As per the property of regular hexagon, all the 6 triangles formed are equilateral triangles.
In other words,
are equilateral
.
Area of an equilateral
is defined as
:

Where <em>a </em>is the side of
.
Area of hexagon = 
We are given that area of hexagon = 169.74 
Let <em>s </em>be the side of hexagon.

A regular Hexagon is made up of 6 equal sides, so
Perimeter of a regular hexagon = 
Perimeter = 

So, perimeter of given regular hexagon is
.
Answer:
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